Which of the following represents "The product of the abscissa and ordinate is ten"?
2 answers:
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Let x represent number of redwood trees and y represent number of spruce trees.
We have been given that a park ranger bought 12 trees. We can represent this information in an equation as:
We are also told that redwood trees cost $24 each, so cost of x redwood trees would be .
Each spruce tree costs $16, so cost of y spruce trees would be .
Since the park ranger spent $208 on trees, so we can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, the park ranger bought 2 redwood trees.
Upon substituting in equation (1), we will get:
Therefore, the park ranger bought 10 spruce trees.
The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.
Mathematically, this statement of the symmetric property of congruence can be written as:
If , then
.
Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:
If , then
which is the exact statement of the symmetric property of congruence when applied to triangles.
Thus, Option D is the correct option.